The transverse displacement \( y(x, t) \) of a wave on a string is ...

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The transverse displacement \( y(x, t) \) of a wave on a string is given by \( y(x, t)=e^{-\left(a x^{2}+b t^{2}+2 \sqrt{a b} x t\right)} \). This represents a
\( \mathrm{P} \)
[AIEEE 2011]
W
(a) Wave moving in \( +x \)-direction with speed \( \sqrt{a / b} \)
(b) Wave moving in \( -x \)-direction with speed \( \sqrt{b / a} \)
(c) Standing wave of frequency \( \sqrt{b} \)
(d) Standing wave of frequency \( 1 / \sqrt{b} \)
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